DopeLogic is the thought process of some one that is horribly, excessively baked, stoned, high (whatever you call it in your area). Signs of Dope Logic include saying 'man' a lot or 'dude' (esp. in california). Another sign is half completed thoughts.

(smokin' the herb)
AJ - "Dude... I'm so baked... It's like.... I don't know...
Billy - "Yeah man, this is some straight like, Dope Logic... or some shit man, hehehehe."
AJ - "Dope Logic? Where'd you come up with that shit dude? That's fuckin'... like... perfect to describe the fuckin'.... situation I guess, hehehe."
Billy - "Man I don't know... shit just like.... I don't know, it comes to me. Like a fuckin'... uhh... fuckin'... I don't know dude. It just does man."